Question:
Simplify the expression \(\frac{\sqrt{\frac{1 - \sin \theta}{1 + \sin \theta}}}{\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}} + \frac{\sqrt{\frac{1 + \sin \theta}{1 - \sin \theta}}}{\sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}}\)
Simplify the expression \(\frac{\sqrt{\frac{1 - \sin \theta}{1 + \sin \theta}}}{\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}} + \frac{\sqrt{\frac{1 + \sin \theta}{1 - \sin \theta}}}{\sqrt{\frac{1 - \cos \theta}{1 + \cos \theta}}}\)
Updated On: Jul 24, 2024
- 1
- tanθ
- 2(cosec2θ + 1)
- 4cosec2θ + 2
- 2cotθ
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The Correct Option is D
Solution and Explanation
The correct answer is option (D): 4cosec2θ + 2
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